Canonical decomposition of harmonizable isotropic random currents

Abstract

First we show that the difference between harmonizable isotropic random currents and homogeneous isotropic ones is small in some sense. Next we obtain the quasi canonical decomposition of harmonizable isotropic random currents, and discuss the possibility of the canonical decomposition of them. Then we show that a certain kind of harmonizable isotropic random currents which is not homogeneous has the canonical decomposition.